Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation in the standard form:
[tex]6x+3y=12[/tex]
Convert to the slope intercept form:
[tex]6x+3y=12[/tex] subtract 6x from both sides
[tex]3y=-6x+12[/tex] divide both sides by 3
[tex]y=-2x+4[/tex]
slope: m = -2
y-intercept: b = 4